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Annals of Mathematics, II. Series Vol. 152, No. 2, pp. 593643 (2000) 

A new approach to inverse spectral theory. II: General real potentials and the connection to the spectral measureFritz Gesztesy and Barry SimonReview from Zentralblatt MATH: As in the previous paper by the second author [same journal 150, No. 3, 10291057 (1999; Zbl 0945.34013)] the authors consider the $A$amplitude and the WeylTitchmarsh $m$function for the radial Schrödinger equation on a finite interval or on the half line with a realvalued locally integrable potential. The asymptotic relation between $A$ and $m$ is investigated in more detail, a relation between $A$ and the spectral measure is obtained, a Laplace transform representation for $m$ is given, $m$functions associated with other boundary conditions are discussed, and some examples are provided where $A$ can be computed exactly. Reviewed by Tuncay Aktosun Keywords: inverse spectral theory; WeylTitchmarsh $m$function; spectral measure; radial Schrödinger equation Classification (MSC2000): 3499 Full text of the article:
Electronic fulltext finalized on: 8 Sep 2001. This page was last modified: 22 Jan 2002.
© 2001 Johns Hopkins University Press
